A Treatise on Elementary TrigonometryMacmillan & Company, 1885 - 274 páginas |
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Página 33
... Note . It will also be convenient , in using such letters as A , B , C ... S , T , etc. to represent angles , to agree that the unit understood with this kind of letter shall be a degree , so that when A stands for an angle , that angle ...
... Note . It will also be convenient , in using such letters as A , B , C ... S , T , etc. to represent angles , to agree that the unit understood with this kind of letter shall be a degree , so that when A stands for an angle , that angle ...
Página 70
... cos2 ) = 1 - cos1 0 , .. ( sin20 ) 2 + 2 cos20 . sin2 = 1 - cos1 . Q.E.D. NOTE . ( 1 - cos 6 ) is called the versed sine of ; it is abbreviated thus versin 0 . EXAMPLES . XV . Prove the following statements . ( 70 TRIGONOMETRY .
... cos2 ) = 1 - cos1 0 , .. ( sin20 ) 2 + 2 cos20 . sin2 = 1 - cos1 . Q.E.D. NOTE . ( 1 - cos 6 ) is called the versed sine of ; it is abbreviated thus versin 0 . EXAMPLES . XV . Prove the following statements . ( 70 TRIGONOMETRY .
Página 72
... NOTE . The solution of the equation x2 = 1 - s2 , gives x = and therefore the ambiguity ( ± ) must stand before each of the root symbols in the above . This ambiguity , as will be explained later on , is of great use when the magnitude ...
... NOTE . The solution of the equation x2 = 1 - s2 , gives x = and therefore the ambiguity ( ± ) must stand before each of the root symbols in the above . This ambiguity , as will be explained later on , is of great use when the magnitude ...
Página 91
... ( 12 ) ( 2n + 1 ) π −7 . ( 13 ) 2nπ- . ( 14 ) ( 2n + 1 ) π −7 - 2 Note . n always stands for a whole number of two right angles . 128. It is often convenient to keep the revolving line USE OF THE SIGNS + AND . IN TRIGONOMETRY . 91 -
... ( 12 ) ( 2n + 1 ) π −7 . ( 13 ) 2nπ- . ( 14 ) ( 2n + 1 ) π −7 - 2 Note . n always stands for a whole number of two right angles . 128. It is often convenient to keep the revolving line USE OF THE SIGNS + AND . IN TRIGONOMETRY . 91 -
Página 95
... Note . The student must notice that the revolving line OP carries its positive direction round with it , so that the line ' OP ' is always positive . 132. We said , in Art . 81 , that the definitions of the Trigonometrical Ratios ( on ...
... Note . The student must notice that the revolving line OP carries its positive direction round with it , so that the line ' OP ' is always positive . 132. We said , in Art . 81 , that the definitions of the Trigonometrical Ratios ( on ...
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algebraical angle of elevation angle ROP ARITHMETIC Assistant-Master base BOOK Cambridge centre circle circular measure circumference Clifton College common logarithms cos² cos³ cosec cosine Crown 8vo decimal diameter Draw PM Edited by Rev ELEMENTARY TREATISE English equal equation Eton College Example Express Extra fcap feet Fellow of St Fellow of Trinity Find the angle Find the number formulæ fraction GEOMETRY Globe 8vo grades GRAMMAR Greek Hence HISTORY hypotenuse inscribed Introduction and Notes J. P. MAHAFFY John's College late Fellow LATIN length LL.D logarithms magnitude Mathematics miles negative numerous Illustrations observed Owens College Oxford perimeter perpendicular positive PRIMER Professor prove Quadrant radians radius regular polygon revolving line right angle School sides significant figures sin² sin³ sine student subtends tangent tower triangle ABC Trigonometrical Ratios Trinity College University yards
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